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Title: A recursive construction of the regular exceptional graphs with least eigenvalue -2
Author: Barbedo, I.
Cardoso, Domingos M.
Cvetkovic, D.
Rama, P.
Simic, S. K.
Keywords: Spectral graph theory
Exceptional graphs
Issue Date: 2014
Publisher: European Mathematical Society Publishing House
Abstract: In spectral graph theory a graph with least eigenvalue 2 is exceptional if it is connected, has least eigenvalue greater than or equal to 2, and it is not a generalized line graph. A ðk; tÞ-regular set S of a graph is a vertex subset, inducing a k-regular subgraph such that every vertex not in S has t neighbors in S. We present a recursive construction of all regular exceptional graphs as successive extensions by regular sets.
Peer review: yes
DOI: 10.4171/PM/1942
ISSN: 0032-5155
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

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